Reduction formula for point group D8h

Your representation

E 2C8 2(C8)3 2C4 C2 (z) 4C2' 4C2'' i 2(S8)3 2S8 2S4 h 4v 4d
72 0.0000 -0.0000 0 0 -4 -2 0 -0.0000 0.0000 0 24 4 2

can be reduced to

A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
3 3 3 3 3 6 3 0 3 1 2 6 3 6

Substraction of translational and rotational contributions results in

A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
3 2 3 3 2 6 3 0 2 1 2 5 3 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
Infrared - - - - - - - - + - - + - -
Raman + - - - + + - - - - - - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 66 66 3
quadratic 4356 2211 100
cubic 287496 50116 1682
quartic 18974736 864501 28141
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
linear 3 2 3 3 2 6 3 0 2 1 2 5 3 6
quadratic 100 64 82 80 119 162 117 59 61 58 59 155 118 153
cubic 1682 1646 1667 1665 2933 3331 2935 1435 1505 1454 1490 3321 2943 3323
quartic 28141 27476 27842 27772 52523 55606 52521 26231 26301 26247 26283 55463 52530 55461

Number of independant internal coordinates 3

Literature




Character tables for chemically important point groups Character table for point group D8h Constructor University Bremen

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement